While working on fractional order derivatives I found the behavior of conformable derivative is different from Caputo fractional derivative. Therefore, I want to know the difference between these two types of derivatives. Can anyone suggest a book explaining these two derivatives?
I recommend these resources that cover both topics in detail :
- Fractional Differential Equations for Scientists and Engineers" by Ahmed A. Kilbas, Hilger Verlag, 2014 This book covers the fundamental theory of fractional calculus along with various applications in science and engineering. It includes a chapter on Caputo derivatives and their properties.
- "A New Definition of Fractional Derivative and Fractional Integral" by Abdelkader Khalil et al. This research paper introduces the concept of conformable fractional derivatives. It defines the conformable fractional derivative of a function and explores its properties.
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